论文信息 - Visualization of data preserving monotonicity

Visualization of data preserving monotonicity

A rational cubic function [M. Tian, Y. Zhang, J. Zhu, Q. Duan, Convexity-preserving piecewise rational cubic interpolation, ISCIAS, Hefei, China, 2005] has been used to visualize monotone data in the view of monotone curves by making constraints on free parameters in the description of rational cubic function. The rational cubic function is extended to rational bicubic partially blended function (Coons Patches). Simple constraints are derived on free parameters in the description of rational bicubic partially blended patches to visualize the monotone data in the view of monotone surfaces. The scheme of the paper is economical to compute and visually pleasant.

Malik Zawwar Hussain | Maria Hussain

[1] R. Beatson,et al. Monotonicity Preserving Surface Interpolation , 1985 .

[2] Tim N. T. Goodman. Shape Preserving Interpolation by Curves , 2001 .

[3] Hans Hagen,et al. Curve and Surface Design , 1992 .

[4] L. Schumaker,et al. Fitting Monotone Surfaces to Scattered Data Using C 1 Piecewise Cubics , 1997 .

[5] J. Mason,et al. Algorithms for approximation , 1987 .

[6] Paolo Costantini,et al. On monotone and convex spline interpolation , 1986 .

[7] Ferruccio Fontanella,et al. Shape-preserving bivariate interpolation , 1990 .

[8] John C. Clements. Convexity-preserving piecewise rational cubic interpolation , 1990 .

[9] Lucia Romani,et al. Rational Interpolants with Tension Parameters , 2003 .

[10] R. E. Carlson,et al. Monotone Piecewise Cubic Interpolation , 1980 .

[11] Juan Manuel Peña,et al. Monotonicity preserving representations , 1994 .

[12] Juan Manuel Peña,et al. Monotonicity preservation on triangles , 2000, Math. Comput..

[13] Carla Manni,et al. Local shape‐preserving interpolation by space curves , 2001 .